1、浅谈我对小学生数学探究式学习的认识（My understanding of mathematics inquiry learning of primary school students）My understanding of primary school mathematics inquiry learning.TxtOn my understanding of primary school mathematics inquiry learningAbstract: the standard of mathematics curriculum clearly points out that
2、effective mathematics learning activities can not rely solely on imitation and memory. Hands-on practice, independent inquiry and cooperative communication is an important way for students to learn mathematics.“ Analysis of the report focuses on the survey of pupils mathematical inquiry learning, em
3、phasizes to make students in mathematics activities “experience“ and “experience“ and “exploration“, to improve the application of students awareness and logical thinking ability from, mainly from the meaning of exploring, strategy, method and measure to discuss.Key words: inquiry learning; independ
4、ent innovation; cooperation and exchange; comprehensive practice;Inquiry teaching problems highlight the “people-oriented“ concept, emphasize the promotion of students from different angles in the teaching situation in the teaching process, to obtain, consolidate and deepen the knowledge, to cultiva
5、te students active learning and problem solving ability. In order to better understand the mathematics inquiry learning situation of primary school students, a questionnaire survey was conducted among 50 pupils randomly sampled from Tang school. After the investigation, from which to put forward the
6、ir own views and understanding.Mathematical inquiry learning statistics for primary school studentsAs a whole, students inquiry consciousness is not very strong. I think the main reason is: learning is not tight grasp, student learning easy, playing time more than class time; group learning opportun
7、ities, 52% students only occasional; school is a township school, parents are farmers, a lot of time doing farm work, child education opportunities less only at night a little time; there is a teacher. Most teachers are young teachers, and there is not much teaching experience. Most of the inquiry l
8、earning is conducted by the leadership, and they are forced to adopt. Usually, the teaching method is more and the students are not active. Many reasons cause students to lose confidence in learning and lose interest in learning. What is the method of inquiry learning? Fortunately, there are still m
9、any students who have a sense of inquiry, as can be seen from the questionnaire. School mathematics inquiry learning needs progress. Classroom teaching should be more active, and students and teachers need to improve their awareness of inquiry.I. strategies of inquiry learningThe application process
10、 of mathematics is full of reasoning models such as inquiry and creation, observation, practice and speculation. It has become the main strategy for people to develop mathematics and applied mathematics.1., create the situation, stimulate interest in inquiryLearning motivation is to promote the stud
11、ents interest in learning, is a yearning for something or to actively explore the psychological tendency of the pursuit, learning interest is in certain situation, he is the inherent power of learning autonomy. In the teaching, we should reasonably create the question situation with the factor, and
12、put the question in the situation.2., actively explore, experience, explore the processThe question, activate thinkingThe independent inquiry and discussionIn practice, pay attention to the evaluation3., combining inquiry with innovationActively train the innovative ability of primary school student
13、s in inquiry learning, and use different methods to solve mathematical problems.Example 1: there is such a problem in calculating the fourth grade;There are 3, 6, 7, 8, four numbers, please use four operations, each figure only once, so that the final calculation of 24 (at least two methods)This que
14、stion has a strong inquiry, first reviewed the four arithmetic knowledge, and secondly, let students explore innovation, using a variety of methods to solve problems.Two, change the mode of inquiryThe traditional inquiry method is no longer applicable to todays primary school students, and teachers
15、need to use many ways of inquiry to teach. Its method mainly has:In the operation of inquiryIn the experiment of inquiryIn the game ofThe inquiry in conjectureThree, the process of inquiry should pay attention to the problems and measures1., optimize the relationship between teachers and students, a
16、nd create a good atmosphere for inquiryTeaching environment is very important for students inquiry learning.Therefore, the establishment of a good teacher-student relationship, the creation of a harmonious and relaxed classroom is the prerequisite for students to explore.2. organize inquiry activiti
17、es and select inquiry methodsElementary school mathematics classroom teaching, teachers should according to the content targeted to organize inquiry activities, guide the student to choose the method of inquiry, to find out the suitable method of inquiry their active inquiry, which can be divided in
18、to independent research and explore cooperation and the recent widespread use of network inquiry.Example 2: PEP of the second grade mathematics volume ninth chapter 115th page rules do haveSuch a problem;Look for the pattern, then draw the figure in brackets.Finding the law is essentially a question
19、 of inquiry. Teachers can use this problem to develop activities, so that students can find the most appropriate method, and actively explore3., cooperation and exchange to share successTeachers should organize students to cooperate and communicate in a timely manner, and encourage students to expre
20、ss their learning results with individualized and innovative methods. Express it by reading, writing, painting, and counting. Teachers should give timely affirmation, timely evaluation.Example 3: the length and width of a rectangle increase by 5cm, and the area increases by 125cm2. What is the perim
21、eter of this rectangle?Solution: set length to X and width to yWell, (x+5) x (y+5) -xy=, xy+5x+5y+25-xy=5 (x+y) +25=125So, x+y=20So, the perimeter of the rectangle is =2 * (x+y) =40cmThere are more than one solution to this problem. Therefore, teachers should encourage students to cooperate and expl
22、ore, find ways to solve problems, and encourage students to express their learning results in a personalized and innovative way. Students use a variety of methods to calculate the perimeter, the teachers should timely give positive evaluation.4., positive evaluation, experience, explore the funIn te
23、aching, we should not only stimulate students fun, but also need to let students get successful emotional experience in the process of inquiry. In this way, students progress little by little, and they gradually become accustomed to exploring, and eventually like to explore.Example 4: PEP of the thi
24、rd grade mathematics first volume fifth chapter 35 page; quadrilateral which features?This question adopts the method of independent inquiry. Observe yourself and speak out what you see. Teachers should encourage praise, let students interested in, and do not criticize the wrong, and give him encour
25、agement, let him look again. For a long time, the mathematics class will be rich and colorful, the teacher is no longer the subject, and the student is the subject of learning.5., rich practice, comprehensive applicationThe knowledge of learning is death, and the most important is practice. Bring ba
26、ck the knowledge you have learned in class and the problems you have explored. Practice in life, and can make good use of its knowledge points, and solve the problems encountered in life.Example 5: the ticket office of the zoo stipulates that 1 tickets for each person are 2 yuan, and the group vouch
27、ers (a total of 10 people are used) are 15 yuan each. There are 38 people in class one, grade three. Asking how to buy tickets saves money. (grade three math problem)This is a question of how to buy a ticket. It is also the most close to life. To solve the problem of buying a ticket is not to solve
28、the problem of life This question needs to be explored by means of group cooperation. Each member of the team wanted a method, a final collection, screening, and summary. The average student only thinks of the first 5, which is not surprising, because the thinking of the pupils is limited. Then cont
29、inue to explore, you will find the fourth methods to save money, which is not a correct answer. But as a teacher, you must continue to let the students think. This is the free discussion, the teacher can guide the reminder at the appropriate time, finally obtains the No. 6 Comparison perfect method,
30、 also called the complement method, the number of filled, and then buy a ticket of 4 groups.Four, cultivate primary school students mathematical practice ability1., grasp the demand, personal experienceIn the heart of man, there is a deep-seated need. That is to hope that you are a discoverer, explo
31、rer, especially a pupil. This demand is very strong in the pupils.Example 6: put 13 matches into four squares of the same size.This is a question of inquiry. Dilute the boundaries of the discipline, content is rid of the text restrictions.Teachers can employ students to move. Some matches can be bou
32、ght for teaching. Let students do it yourself, the effect will be better.2., provide platform to enhance practical consciousnessAccording to the existing level of students and other characteristics, teachers should create certain conditions to provide students with a wealth of operating equipment an
33、d mobile phones. Let students gradually form inquiry consciousness in the course of activities.Example 7: PEP of the fifth grade mathematics first volume fifth chapter 83 page issueMake a rectangular box with a wooden bar. It is 18cm long and 15cm wide. What is its perimeter and area? If you pull it
34、 into a parallelogram, is there any change in perimeter and area?This question is to examine the students perimeter and area. Let the students use paper and drawing a rectangle nail first, and then began to pull, a parallelogram, also that if the rectangle pulled into a parallelogram, perimeter and
35、area calculation and foot measure wood frame. Through this method, not only can enhance the teaching effect, but also can stimulate the student interest and raises students inquiry consciousness.3., after school to add, internalize ideasIt is not enough to cultivate the practical ability of primary
36、school students only by the time of class. Teachers should transform a large amount of information in life into the mathematical practice that students are willing to participate in, and extend the classroom inquiry into life practice.Reference：1.http:/ weeks tokiaki: “practical ability training of
37、primary school mathematics“ (primary school mathematics teaching design?), 2010 ninth3. edited by Gu Jianjun, “comprehensive design of primary school students activities“4. Xiong Zongping and He Xunguang: “let students experience the process of inquiry“ (primary school teaching design), 2005 ninth5. Yu Fenglei: “under the new curriculum of primary school mathematics inquiry learning“
